Evolutionary exploration of the Mandelbrot set

Aus de_evolutionary_art_org
Wechseln zu: Navigation, Suche


Ashlock, D.: Evolutionary exploration of the Mandelbrot set. In: Proceedings of the 2006 Congress on Evolutionary Computation, pp. 7432–7439 (2006).




The Mandelbrot set is an infinitely complex fractal defined by a simple iterative algorithm operating on the complex numbers. Views of the Mandelbrot set are a common form of fractal art. Presented here is a collection of fitness functions that permit three-parameter evolutionary search of the Mandelbrot set to locate interesting views. While the system presented is automatic, the hand of the artist can direct the type of views found by modifying the fitness function. Based on an envelope that specifies the character of the fractal landscape desired, the fitness function is easily reconfigured with minimal programming skill and without knowledge of complex arithmetic.

Extended Abstract


Used References

D. Ashlock, K. M. Bryden, and S. P. Gent. Evolutionary control of bracked L-system interpretation. In Intelligent Engineering Systems Through Artificial Neural Networks, volume 14, pages 271-276, 2004. http://dx.doi.org/10.1109/CEC.2004.1331180

D. Ashlock, K. M. Bryden, and S. P. Gent. Creating spatially constrained virtual plants using l-systems. In Smart Engineering System Design: Neural Networks, Evolutionary Programming, and Artificial Life, pages 185-192. ASME Press, 2005.

Dan Ashlock, Kris Bryden, Kevin Meinert, and Kenneth Bryden. Transforming data into music using fractal algorithms. In lntellegent Engineering Systems Through Artificial Neural Networks, volume 13, pages 665-670, 2003.

Dan Ashlock and James W. Goldin III. Evolutionary computation and fractal visualization, of sequence data. In Gary B. Fogel and David W. Corne, editors, Evolutionary Computation and Fractal Visualization of Sequence Data, chapter 11, pages 231-254. Morgan Kaufmann Publishers, New York, 2002. http://dx.doi.org/10.1016/B978-155860797-2/50013-5

Daniel Ashlock and James B. Golden III. Iterated function systems fractals for the detection and display of dna reading frame. In Proceedings of the 2000 Congress on Evolutionary Computation, pages 1160-1167, 2000. http://dx.doi.org/10.1109/CEC.2000.870779

Daniel Ashlock and James B. Goldin III. Chaos automata: Iterated function systems with memory. Physica D, 181:274-285, 2003. http://dx.doi.org/10.1016/S0167-2789(03)00122-2

M. Barnsley. Fractals Everywhere. Academic Press, San Diego, 1993.

Benoit Mandelbrot. The fractal geometry of nature. W. H. Freeman and Company, New York, 1983.

Steven Rooke. Eons of genetically evolved algorithmic images. In Peter J. Bentley and David W. Corne, editors, Creative Evolutionary Systems, pages 339-365. Academic Press, London, UK, 2002. http://dx.doi.org/10.1016/B978-155860673-9/50052-5

L. Vences and I. Rudomin. Genetic algorithms for fractal image and image sequence compression. In Proceedings Computacion Visual 1997, pages 35-44, 1997.

Jeffrey Ventrella. Creatures in the complex plane. IRIS Universe, Summer 1988.

J.J. Ventrella. Self portraits in fractal space. In La 17 Exposicion de Audiovisuales, Bilbao, Spain, December 2004.


Full Text

[extern file]

intern file

Sonstige Links